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Finding the Fourth Proportional to 8,536.82, 12,811.03 and 5,239.85

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Solution

The fourth proportional to 8,536.82, 12,811.03 and 5,239.85 is: 7,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.82 : 12,811.03 = 5,239.85 : x
  2. Step 2: Convert to fraction form
    8,536.82/12,811.03 = 5,239.85/x
  3. Step 3: Cross multiply
    8,536.82x = 12,811.03 × 5,239.85
  4. Step 4: Simplify right side
    8,536.82x = 67,127,875.55
  5. Step 5: Solve for x
    x = 67,127,875.55/8,536.82
  6. Step 6: Final answer
    x = 7,863.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.